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Popular Calculus >

integral from 1 to 2 of e^x-x

Solution

\int_{1}^{2} e^{x} - x d x

Solution

e^{2} - e - \frac{3}{2}

+1

Decimal

3.17077 \dots

Solution steps

\int_{1}^{2} e^{x} - x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{2} e^{x} d x - \int_{1}^{2} x d x

\int_{1}^{2} e^{x} d x = e^{2} - e

\int_{1}^{2} x d x = \frac{3}{2}

= e^{2} - e - \frac{3}{2}

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of e^x-x ?
The integral from 1 to 2 of e^x-x is e^2-e-3/2